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Finding the Third Proportional to 151,444.69 and 327,963.94

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Solution

The third proportional to 151,444.69 and 327,963.94 is: 710,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,444.69 : 327,963.94 = 327,963.94 : x
  2. Step 2: Convert to fraction form
    151,444.69/327,963.94 = 327,963.94/x
  3. Step 3: Cross multiply
    151,444.69x = 327,963.94 × 327,963.94
  4. Step 4: Simplify right side
    151,444.69x = 107,560,344,300.50
  5. Step 5: Solve for x
    x = 107,560,344,300.50/151,444.69
  6. Step 6: Final answer
    x = 710,228.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.